Functional Fractional Calculus

From the reviews of the second edition: "This is a book that ought be read by any applied or theoretical researcher interesting in this topic, because the book is plenty of good work. It is possible to learn from it, especially, from the applications included, and finally, because the reader will get a lot of ideas to produce new works in the area of the fractional calculus." (Juan J. Trujillo, Zentralblatt MATH, Vol. 1225, 2012) "The author has developed this subject without mathematical details but with correct mathematics and proper explanation of the generalization of the integer order to fractional order calculus ... . This applied and innovative approach of presentation is really appreciable for understanding an application oriented subject to the scientists and engineers. ... the author has elaborated each concept herein via very relevant examples of practical utility, is real novelty. ... this book is highly illuminating to the researchers of different fields of science and engineering." (Susmita Sarkar, International Journal of Mathematics and Computation, Vol. 18 (1), 2013) "This book is a very timely addition to the existing literature in this subject ... . The book may be considered as a textbook for students of mathematics and recommended as a useful reference and guidebook for researchers in other streams of science and technology. A proof of acceptance of the book by the scientific community is quite evident from over 200 citations it has already received within such a short time span after publication." (Sujata Tarafdar, International Journal of Mathematics and Computation, Vol. 18 (1), 2013)

• CHAPTER 1 INTRODUCTION TO FRACTIONAL CALCULUS.- CHAPTER 2FUNCTIONS USED IN FRACTIONAL CALCULUS.- CHAPTER 3 OBSERVATION OF FRACTIONAL CALCULUS IN PHYSICAL SYSTEM DESCRIPTION.-  CHAPTER-4 CONCEPT OF FRACTIONAL DIVERGENCE AND FRACTIONAL CURLCHAPTER-5.- FRACTIONAL DIFFERINTEGRATIONS INSIGHT CONCEPTS.-CHAPTER-6INITIALIZED DIFFERINTEGRALS AND GENERALIZED CALCULUS.- CHAPTER-7 GENERALIZED LAPLACE TRANSFORM FOR FRACTIONAL DIFFERINTEGRALS.-CHAPTER-8 APPLICATION OF GENERALIZED FRACTIONAL CALCULUS IN ELECTRICAL CIRCUIT ANALYSIS & ELECTROMAGNETICS.- CHAPTER-9 APPLICATION OF GENERALIZED FRACTIONAL CALCULUS IN OTHER SCIENCE AND ENGINEERING FIELDS.- CHAPTER-10 SYSTEM ORDER IDENTIFICATIONAND CONTROL.- CHAPTER-11 SOLUTION OF GENERALIZED DIFFERENTIAL EQUATION SYSTEMS .